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Finding the Fourth Proportional to 712.81, 1,067.23 and 538.93

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Solution

The fourth proportional to 712.81, 1,067.23 and 538.93 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.81 : 1,067.23 = 538.93 : x
  2. Step 2: Convert to fraction form
    712.81/1,067.23 = 538.93/x
  3. Step 3: Cross multiply
    712.81x = 1,067.23 × 538.93
  4. Step 4: Simplify right side
    712.81x = 575,162.26
  5. Step 5: Solve for x
    x = 575,162.26/712.81
  6. Step 6: Final answer
    x = 806.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.